LCM of 913, 780, 238, 506, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 780, 238, 506, 646 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 913, 780, 238, 506, 646. So, keep reading to learn more.
Given numbers are 913,780,238,506,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,780,238,506,646 is 37033416420.
Find LCM of 913,780,238,506,646 with Prime Factorization
| 2 | 913, 780, 238, 506, 646 |
| 11 | 913, 390, 119, 253, 323 |
| 17 | 83, 390, 119, 23, 323 |
| 83, 390, 7, 23, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 83 x 390 x 7 x 23 x 19 = 37033416420
Therefore, the lowest common multiple of 913,780,238,506,646 is 37033416420.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
913 x 780 x 238 x 506 x 646 = 55401990964320
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
913 : 1, 11, 83, 913
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
238 : 1, 2, 7, 14, 17, 34, 119, 238
506 : 1, 2, 11, 22, 23, 46, 253, 506
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,780,238,506,646, is 1.
Now, the common factors can be found like this.
913:11x 83
780:2x 2x 3x 5x 13
238:2x 7x 17
506:2x 11x 23
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 17 = 1496
Therefore, the value for common factors is 1496.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 55401990964320/(1x1496)
LCM = 55401990964320/1496
LCM = 37033416420
Thus, we can understand that the LCM of 913,780,238,506,646 is 37033416420.
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FAQs on LCM of 913, 780, 238, 506, 646
1. What is the LCM of 913, 780, 238, 506, 646?
Answer: LCM of 913, 780, 238, 506, 646 is 37033416420.
2. How to calculate the LCM of 913, 780, 238, 506, 646?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 913, 780, 238, 506, 646.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.